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liubo4ka [24]
4 years ago
9

Solve for x: -1/2(-4+2x) = -6 - 4x

Mathematics
1 answer:
antiseptic1488 [7]4 years ago
5 0
-\dfrac{1}{2}(-4+2x)=-6-4x\ \ \ \ \ |multiply\ both\ sides\ by\ (-2)\\\\-4+2x=12+8x\ \ \ \ |add\ 4\ to\ both\ sides\\\\2x=16+8x\ \ \ \ \ |subtract\ 8x\ from\ both\ sides\\\\-6x=16\ \ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\x=-\dfrac{16}{6}\\\\x=-\dfrac{8}{3}\\\\\boxed{x=-2\frac{2}{3}}
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Step-by-step explanation:

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6. At the beginning of school, Julie bought one 3-subject notebook and four single-subject notebooks
larisa [96]

Answer: 3-subject notebook cost $0.67 or 67 cents and the single-notebook cost  $0.33 or 33 cents.

Step-by-step explanation:

Let's represent the 3-subject notebook by y and the single-notebook by x.

y has to cost twice as much as x and we can represent that by the equation

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We now know that the total cost of the 3-subject notebook and the single-subject notebook has to equal  $1.

We can also represent that by the equation and solve for x

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3 years ago
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Step-by-step explanation:

Consider the provided information.

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Substitute x_1=-2 in above equation.

f(x_1)=(-2)^3+(-2)+6

f(x_1)=-8-2+6

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Differentiate the provided function and calculate the value of f'(x_1)

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x_2=-1.6923

Hence, the value of x_2=-1.6923.

6 0
3 years ago
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